Sewage utilization instead of sewage treatment Béla Tolnai mechanical engineer Key words: sewage utilization, sewage treatment, modelling of biological filtering 1 SEWAGE GENERATION AND COLLECTION There are several definitions of the term sewage or, with other words, wastewater known. Wikipedia provides the following definition1: Wastewater is the end-product of industrial or communal water consumption; essentially it is any kind of water that has been polluted to the effect of anthropogenic impact or, respectively, its original quality has degraded. This explanation considers pollution as a fact, although pollution of the entire amount of water does not necessarily come forward. We use water in the households in order to make our life easier and raise the quality of life when flush off “contaminations” generated in the flat. toilet rainwater kitchen bathroom laundry room 1-1. Generation of household sewage Contamination is generated in different places in the household. Waste disposal from the toilet, the laundry room, the bathroom and the kitchen is carried out uniformly by water. At the moment of wastewater generation these waters are still separated. They will be mixed by being discharged through a common sewerage. Water first of all has got a logistic role in this discharging process: it carries off the generated contamination. During this process water - due mainly to diluted matters - becomes used and polluted. 1 http://hu.wikipedia.org/wiki 1 / 12 The so called blackwater generated in the toilet is heavily charged. Charging is due to the high organic matter content of faeces and urine. Blackwater has got a small proportion in sewage. On the contrary, greywater generated in the bathroom, laundry room and kitchen is low charged and its quantity is significant. Leaving the premises blackwater and greywater is mixed in the sewerage and becomes household sewage. 100 80 60 40 20 0 Greywater Urine Faeces Blackwater (urine + faeces) contains 99% of bacteria, 98% of nitrogen and 90% of phosphorus. Source: Tolilettes Du Monde, 2009 Figure 1-2. Composition and quantity of communal wastewater qu Composition and quantity relations of Figure 1-2. are clear. They indicate the inexpedience of mixing. Stormwater accumulating on the roof is basically not polluted, but - as it is shown in Figure 1-1. - it will become that by mixing when discharged into the sewer. On the way towards the sewage treatment plant industrial wastewater and stormwater from the streets is added to the household sewage. The resulted mixture has been generated by us and then at the sewage treatment plant we concentrate with all endeavours on how to separate the components of the mixture from each other. For this reason one can hear more and more about the separate collection of blackwater and greywater preventing them to mix. At the time of wastewater generation the minimization of tap water use may be targeted, as well. In this case the once already used and recycled greywater is used for flushing the toilet, which recycling can be implemented in the household. As a consequence the amount of sewage discharged from the household will be less, but it will be more charged as less water carries off the same amount of contamination. Seemingly it is an effective solution subduing the use of tap water. In the sewerage, however, transportation of suspended solid particles can be effective only over a certain flow rate. At low flow rates sewerage sedimentation leads to block that may cause the failure of wastewater disposal. While we need to work toward rational water use we have to admit that a certain amount of water is needed in the sewerage. Sewerage service consists of two parts: sewage disposal and sewage treatment. We are talking of sewage disposal, while actually it is the discharging of waste generated in the households and the industry by flushing it with water. In this process water has got only a logistic role of transportation. In the sewerage waters of different quality charged to a different extent are mixed. At the sewage treatment plant in course of the treatment process we try to separate the components of this mix. At this point the obligatory question to ask is the following: Why to mix it if we have to struggle with separation later on? Mixing could be prevented by the use of separate sewerages. This idea is not newfangled, but the construction would have a large investment cost. In spite of this the demand for separate collection comes to the view more and more. 2 / 12 It would be difficult to implement separate wastewater disposal or separate collection in a densely populated urban environment, but it might be feasible in a village. Collection of blackwater by vacuum trucks and composting it later on may be profitable. Disposal of greywater could be feasible even in open ditches, but closed pipes are better to the purpose. Sewage treatment at the end of the sewerage system will thus be significantly easier. Hereinafter let’s put an emphasis on sewage utilization instead of sewage treatment. This seemingly minor bias, however, leads to the substantive revaluation of a range of things. 2 REINTERPRETATION OF SEWAGE TREATMENT 2.1 Sewage utilization in the case of separate collection Separated sewerage systems have not been developed in the cities because of their large investment costs. Posterior construction of separated sewage collection does not seem to be economical either because there are difficulties in the long distance transportation of blackwater due to large viscosity. Therefore, the establishment of local, complex utilization equipments of small unit performance will gain ground. Greywater can be utilized in two ways: one is heat recovery, and the other is using it for irrigation water after treatment along with the collected stormwater. Blackwater contains hardly any water. First biogas is generated by sludge digestion then the gas is combusted in a gas engine. The gas engine needs to be cooled, thus heat energy is generated which can be used for heating. The gas engine powers a generator and the produced current can be reused in the household. Digested sludge will finally be composted. The compost is used as an organic manure. Today the solution shown in Figure 2-1. still might seem utopistic [5]. However, this form of construction designed for housing estates has one important message as per only hardly polluted greywater needs to be treated in a traditional meaning. Stormwater Blackwater treatment Greywater treatment Sludge digestion Biogas Gas engine Vacuum pump 220 ~ Irrigation water Generator Heat exchanger Blackwater Greywater Clean water Storage tank Heat Current 2-1. Local sewage utilization Greywater treatment is, however, a much simpler task. 2.2 Sewage utilization in large wastewater treatment plant Today it is a general fact that a mixture of communal and industrial wastewater enters the wastewater treatment plant through the common sewerage. The amount of wastewater is increased furthermore by added stormwater. There have been many sewage treatment 3 / 12 Ozone dosing Presedimentators Cascade aeration Grid Used water technologies developed. The most common technology is the so called activated sludge technology. However, the world talks more and more about sewage utilization instead of sewage treatment. Sewage utilization is not only a fashionable term; it is worth to pay attention to it. The point is that everything what is useful in the wastewater has to be extracted. Consequently, the utilization of the entire amount of sludge separated by (pre)sedimentation should be targeted. Opinion is divided on whether sludge utilization would be equal to biogas production. Biogas is generated by sludge digestion. It is composed of mainly methane (approx. 60%) and carbon dioxide (approx. 40%). The heating value of a gas with such a composition cannot be compared to that of the natural gas. By the extraction of carbon dioxide and other pollutants - first of all sulphur - the heating value can be improved and thus the possible ways of utilization extend. However, the gas purification process is expensive. Therefore, combustion in gas engines of poor efficiency takes place as a common alternative. Gas engine powers generator which in turn produces current. A part of the generated heat is used for heating the digestion towers. Surplus heat can be used for other purposes. Digested sludge is compostable or may be enriched with lignite. Figure 2-2. also depicts the case when there is no biogas generation, i.e. the entire amount of raw sludge is composted or stabilized by lignite in course of the LIGNIMIX process [4]. Composting usually takes place off the sewage treatment plant due to its large space demand, while there is enough room to mix sludge with lignite on site. Either along with biogas production or without that, sludge utilization should anyway serve agricultural purposes, as well. Arable lands badly need organic manure supply. The safety of crop production for food, however, demands that treated sewage sludge applied in the fields shall not contain detrimental substances. This is the reason why an environmentally conscious use of the sewerage system has to be encouraged. The principle of “polluter pays” is basically right, just the term of polluter has to be revaluated. It is not a polluter who discharges waste of communal origin into the sewerage system, i.e. uses his or her sanitary equipment as it is intended to. Biological filters (Pe ~10) Griddust The whule amount of sludge Wastewater Aeration Rinsewater reservoir Gas engine Sludge thickener M G Generator Heat-exchanger Lignimix granules Emulsion Digested sludge Cavitron (Desintegration) Biogas storage Row sludge Reciver Rinsewater pumpstation Sludge digestion towers Lignit powder Cleaned water Dehydrating & desiccative equipment Dehydrated sludge Dehydrating machine Watewater treatment plant 2-2. Sewage utilization in wastewater treatment plant 4 / 12 Composting Treatment of the residual decanted wastewater remains a task. As it has earlier been noted, the today commonest activated sludge technology does not come to mind, as following the separation of the entire amount of sludge the biofilm carrier flocculate is no longer available for us. We need then a process which does not require sludge to be present for the water treatment and an adequate biofilm carrier surface needs to be ensured separately. Effective treatment of used water can be implemented at low Péclet number. Bank filtration (Pe = 5 - 15) is suitable even for the retention of medicine residues [2]. By using artificial biological filtering of similar parameters unwanted molecules can be extracted from the decanted wastewater, as well. The quality requirements of disposal into natural waters getting stricter and stricter can thus be fulfilled. 3 MODE OF TREATMENT ACTION OF BIOLOGICAL WASTEWATER As sewage utilization gains ground the basic duty does not change; only it is not wastewater but greywater or decanted wastewater that has to be treated, depending on the formerly shown arrangements. The theory of biological filtering leads us to an answer to these tasks without using sludge. The modelling of bank filtering leads to a general structure [1] that can be considered as the axiomatic foundation of the theory of biological filtering. We can state the following: A solid surface is needed for biofilm adhesion. The treatment process consists of three consecutive processes. Convective flow or leakage conveys pollutant to the biofilm. Conductive flow or diffusion detaches pollutant from the main flow and ingests it into the biofilm. Logistic stages based on the principles of flow technology are preconditions to the processes taking place within the biofilm. Nutrient decomposition takes place within the biofilm. Convective material flow, persolation Conduktive material flow, diffusion Biochemical process, Nutrient decomposition Condition (driving force) Maintened by Pressure difference Pumping, mixing Concentration difference Bacteria s work Solid surface for biofilm adhesion, Redox envinronment Bacteria s instict Feedback Serial process Sub-process 3-1. Consecutive elements of biological filtering and feedback Table 3-1. shows the momentum of each sub-processes as well as the way how to maintain them. Leakage occurs in the deposit to the effect of pressure difference which is maintained by pumping or mixing. Diffusion is driven by the concentration difference. Nutrient decomposition is a biochemical action which converts the molecule entering the biofilm thus “eliminating” its concentration within the biofilm. Concentration difference outside of and within the biofilm is thus continuously reproduced. Diffusive motion comes off uniformly in all directions of space such as it can be observed in the case of Brownian motion. Ions move also according to the principle of diffusion. By the aid of an electric field, however, the charged particles can be diverted into one direction. In order to differentiate it from spontaneous diffusion this directed motion is called drift. In our case a one-way diffusive motion from the water towards the biofilm can be observed. The momentum is provided by a continuously reproduced concentration difference due to the bacteria’s activity. 5 / 12 In Table 3-1. the life instinct of bacteria means the force that induces them to decompose nutrients. In terms of systems engineering decomposition induces a feedback by the reproduction of a concentration difference. 3.1 Logistic criteria of biological filtering Efficiency of nutrient decomposition in logistic terms is also determined by the size of the surface that can be colonized by bacteria. To decompose a large amount of nutrients a large number of bacteria is needed which, in turn, are able to adhere only to a large surface. The larger the surface size in a given volume is the smaller the size of the biofilm carrier particles are. The logistic criteria of biological filtering are characterized by the Péclet number as follows: Pe = w dm DS . where w [m/s] dm [m] is the filtering rate is the standard particle diameter (in the case of sand filter it is equal to the typical particle diameter) Ds [m2/s] is the diffusion factor of substrate (the decomposable pollutant) The Péclet number is a dimensionless number. It includes three different characteristics: the most important parameter of operation, i.e. filtering rate (w), the quality of water to be treated characterized by the diffusion factor of the pollutant (Ds), and the specific characteristic of the filtering substrate or the biofilm carrier deposit, i.e. the particle diameter (dm), which refers to the size of the carrier surface. The Péclet number is originally interpreted as the ratio of convective and conductive currents. The precondition of effective decomposition in this approach is that the nutrient that arrives to the biofilm is able to penetrate into it, i.e. the desired value is Pe ~ 1. There is another, more illustrative interpretation. After an algebraical conversion of the fraction we get the following form: The result is the ratio of the time needed to take the dm long diffusion way and the retention time spent in front of the dm sized biofilm carrier particle. The precondition of effective decomposition is when these two periods of time are nearly equal to each other (Pe ~ 1). When Pe<1 then no sufficient amount of nutrient arrives to the biofilm, while when Pe>>1 then the nutrient passes away quickly in front of the biofilm instead of getting ingested. The calculation of the Péclet number seems to be easy. However, in the case of different sewage treatment processes there are significant difficulties in the interpretation and determination of the given factors. Some geometric considerations may be necessary in order to determine the equivalent de and the standard dm particle diameters [1]. Pe = 6 / 12 Grain of sand d m = de = 1,3 * 10-3 Danpak dm=de= 1,7 * 10-3 Ultra filter d m=de= 2,7 * 10-3 WasserCare d m = de= 7,7 * 10-4 Floc size (activated sludge) dm = de= 1 * 10-4 Hair h = 8 * 10-5 Arbitrary size limit dm := 5*b = 1,2 * 10-5 Size of microbes b = 2,5 * 10-6 7 Zeolite de= 5,9 * 10-7 Light microscope h=2*10- Macromolecules d=(3-100)*10-9 Activated carbon de= 7,5 * 10-9 Molecules d=(4-60)*10-10 Size of atoms d=(1 - 5) * 10-10 lg d [m] 10-10 10-9 [Å] [nm] 10-8 10-7 10-6 10-5 10-4 [μm] 10-3 10-2 10-1 1 [mm] [cm] [dm] [m] dm = 5*b dm = de 3-2. Equal and standard particle diameters Based on the equal and standard particle diameters the biofilm carrier substrates can be lined up. The applied logarithmic scale indicates that there is a large distance between the sizes representing some of the filtering substrates. It can be seen that the plastic biofilm carrier products (WasserCare, Danpak) available in the market at the present still lag behind the demands, and their specific surface is rather small. Bacteria are not able to fully colonize the large specific surface of activated carbon and zeolite due to the bigger size of those. 3.2 Kinetics of biochemical processes 3.2.1 Metabolism of cells Nutrient decomposition within the biofilm - if we only state that it has happened - seems to be simple. If we have a closer look at it, we get a more diverse picture. It is worth to recall briefly the activity mechanism that has already been justified by biologists for a long time in order to better understand systems engineering relations. The metabolism of cells can be described by the Michaelis-Menten enzyme kinetics (Table 33/A). As a solution of a differential equation system we get a relation referring to the reaction rate - the rate of product generation - depending on the substrate content (Table 3-3/B). The model is simple and provides a good phenomenological description of the phenomenon. Parameters vmax and Km are easy to measure. 7 / 12 A B vmax k1 k2 E + S ES P+E k1 E S ES P enzyme substrate complex product vmax / 2 0 C Km [S] D Substrate The enzyme s shape changes as soon astha substrate is adsorbed End-products Without enzyme Active centre Energie Eaktiválási Substrate With enzyme Eaktiválási ΔE The substrate enters the enzyme s active centre Enzyme-substrate complex Enzyme and end-product complex The end-products leave the enzyme s active centre (the enzyme recovers its original shape) Product Reaction time 3-3. Enzyme kinetics The theory elaborated at the beginning of the 19th century justified the role of enzymes in the process illustrating the mechanism of molecule decomposition by geometric structures. A given enzyme is able to decompose only a given type of substrate. This is indicated by the “key fitting the lock” geometric forms in the figure. In order decomposition would be accomplished the given enzyme has to be present in the space (Table 3-3/C). Similarly to every living organism cells also need energy to sustain their vital processes. They gain this energy from the decomposition of the substrate. Energy released in course of the exothermic process ensures cell activity. Enzymes take part in this process as catalytic agent. To their effect the activation energy needed for the decomposition will be significantly less (Table 3-3/D). From our biological studies we may know that decomposition takes place in more than one step. This type of multistep process is the consecutive stages of nitrification and denitrification. The product generated in the first reaction becomes a substrate in the next stage. Gradual decomposition may have the risk of getting the process stucked somewhere, not being completed and leaving behind undesired, maybe even toxic matters in the water. In practice decomposition processes used to be described by stoichiometric equations. The endproduct is mostly water and carbon dioxide which may be apostrophized as that of an oxidative burning process. Energy released in course of the reaction, however is not typically heat energy as it is general at burnings with flame - but chemical energy from which the cell gains energy needed for its activity and life subsistence. Gaining energy necessary for life subsistence may be considered as life instinct. Mechanical screening retains pollution while biological filtering “burns” it. Mechanical screens needs to be regularly cleaned. On the contrary, biological filters are self cleaning. 3.2.2 Microbial reproduction Bacteria are single-celled organisms. Their body builds up of protein, nucleic acid, lipids and water. A significant part of the protein content is enzyme protein. Bacteria, such as all other living organisms, have an important characteristic: namely that they are able to reproduce. The most frequent form of reproduction is reproduction by fission. To 8 / 12 the analogue of the Michaelis-Menten enzyme kinetics, the kinetics of microbial reproduction was developed by Monod some fifty years later in 1949. A B 900 n=0 x = x 0 2n n=2 x0ee x= 700 600 dx = μM x dt n =1 n: the number of generations μ tMt 800 x [-] x Microorganism dividing by binary fission Fundamental relationship of microreproduction x 500 400 300 200 100 n=3 0 0 5 10 15 óra t [h] idő n=4 Exponenciális növekedés X0=2 és μ=0,5 Exponential growth x0=2, µM=0,5 C D dx x = μM x 1 - dt K x= K Mt 1 + x 0xe-μ= K 1 + x 0e-μM t μ M = μ M,max The logistics function S KS + S µM [1/h ] x [-] t [h] S [g/L ] K=800 x0=399, µM=0,5 3-4. Kinetics of microbial reproduction Binary fission (Table 3-4/A) can be described by a differential equation, as well. The constant μ is a coefficient characteristic to a reproduction of relative growth M , which shows the increase rate of subsequent generations. The solution of the differential equation results in an exponential function. The function keeps to the infinite as time increases (Table 3-4/B). In the case of closed systems a finite growth is realistic. The solution of the corrected - “slowed down” in growth differential equation will be the so called logistic function (Table 3-4/C). μ The M size of the exponent can be determined by measurement. Its value, depending on the substrate content, shows saturation characteristic. Similarity can be detected then in the development of the reaction rate of the Michaelis-Menten kinetics and the substrate dependence of the Monod kinetics exponent. The upward rise of the curves can be characterized by the provision of semisaturation constants (Km, Ks). μ The growth rate of microbes is of the order of an hour. Although the saturation value M ,max becomes larger along with the increase of dissolved oxygen content in the water the growth rate depending on the substrate content - the rise of the saturation curve - does not substantially change. (Table 3-4/D). The rise of the saturation curve is determined by the type of the substrate and the reproducing bacteria species, respectively. Biofilm is not a timely static formation; it has dynamics. 9 / 12 Destruction phase Accelerating growth stage Dispersion LAG stage Growth Stationary phase x Adhesion Decclining phase B Exponential phase A x0 Time 3-5. Reproduction and mortality Growth stages are distinguished. Accelerating growth stage, then declining and stationary phases are followed by the death phase. Death can be related with dispersion (see Table 3-5/A and B). The reproduction or growth stage can also be described with the help of the logistic function (Table 3-4/C). For this x0, K and μM parameters have to be selected and marked off. 3.3 Theory of biological filtering Biological filtering is a complicated biochemical process where nutrient decomposition depends on several variables. The function relation between variables was defined by using dimension analysis [1]. The mathematics- and physics-based process starts with listing the substantive variables. In the first step we reduce the number of variables by generating dimensionless figures. In the case of the model is derived for bank filtration we get six dimensionless figures, from among which Péclet number and L/d geometric ratio have a substantial role (Table 3-6/A). These can be changed substantially by the operator. A B ΔS = μ(Pe) CO2 1 L Sc rH Pe d Nutrient decomposition Range of bankfiltration Filtering factor 3-6. The relations of nutrient decomposition The methodology of dimension analysis makes it possible to interpret the function relation describing the phenomena, as well. According to the formula that can be described by heuristic means (Table 3-6/B) nutrient decomposition is inversely proportional with the Péclet number and is directly proportional with the L/dm ratio. Illustrating the resulted formula as a function of the Péclet number - depending on the size of the other factors - we get a host of hyperbola. In the range of very low Péclet number the grade of nutrient decomposition with a constant filtering factor would be infinite, which is impossible. Assuming the existence of μ = μ(Pe) function relation the unbounded growth of hyperbolas is 10 / 12 reversible. Starting off from the two-grade materialization of biofilm nutrient supply - nutrient transport to the biofilm then its ingestion into the biofilm - let us identify formally the filtering factor with the logistic function of microbial reproduction (table 3-4/C), namely let it be β μ := μ(Pe) := 1 + a e- b Pe . where β is the proportional part of the filtering factor, the size of which can be determined by measurement, and where by the correct selection of a and b parameters near the value of Pe = 1 the maximum value of the function, while at Pe = 0 the nearly 0 function value can be reached. (By selecting the values of a=100 000 and b=12 - according to our expectations - the infinite characteristic of hyperbolas will disappear, the maximum value of the function will be near 1 and the nutrient decomposition curve will intersect the y-axis near the pole (Table 3-6/B). Having provided the filtering factor the theory of biological filtering has been completed. Summarizing our foregoing results we can state that theories build on each other. Figure 3-7 summarizes this. A B Michaelis-Menten kinetics Monod kinetics Theory of biologocal filtration Theory What is it about? The place of occurrence Key parameter MichaelisMenten kinetics Metabolism of cells Cell Reaction rate Microbial reproduction Biofilm Relative growth factor Biological filtering Biological reactor Monod kinetics Enzyme Bakteria Semi-saturationfactor Logistical function Theory of biological filtering Filtering factor 3-7. Interconnecting processes The result of the Michaelis-Menten kinetics has inspired Monod when he was interpreting the relations of microbial reproduction. For the description of reaction rate on the one hand, and that of the relative growth rate on the other hand, functions of the same shape are used. At both kinetics it is the enzyme that embodies the conceptual similarity. The microbial reproduction equation of the Monod kinetics carried out in a closed space, the so called logistic function has lent its shape to the filtering factor of the nutrient decomposition model. Setting a colony of bacteria reproducing according to the principles of Monod kinetics and supplying them with nutrients is the task of the process based on the theory of biological filtering. Through these steps can we get from the cells through the microbes to the events ruled by the theory of biological filtering and finally to the clearing of water. 4 SUMMARY Sewage utilization can be maximized if the total amount of sludge is disposed, as it is recommended by the CARISMO process, as well [3]. This may be feasible, however, only if the decanted wastewater can be treated without the involvement of sludge flocs. It is also required that medicine residues shall be filtered already in the sewage treatment plant. By a 11 / 12 more effective treatment of decanted wastewater environmental aspects may better prevail. Jekel-experiments [2] and the theory of biological filtering drafted here lay the foundation of all this and make this possible. Capacities will be fully exploited when the digested sludge is applied to arable land as it is shown in Figure 2-2. in alternative forms. This integrated approach, in addition to minimizing environmental pollution, can also provide us with a source of energy. Sewage sludge utilized in arable land is not only manure for plants but by improving the water retention ability of the soil it also helps to diminish the extreme manifestations of climate change. 5 REFERENCES [1] Tolnai, B.: Chapters from the topic of biological filtration and application 4th International Symposium Re-Water Braunschweig, 06-07.11.2013. [2] Jekel, I. – Grünheid,S.: Ist die Uferfiltration eine effektíve Barriere gegen organische Substanzen und Arzneimittelrückstände GWF Wasser-Abwasser 148 (3007) Nr. 10. [3] Weigert, B.: Vom Klärwerk zum Kraftwerk GWF Wasser-Abwasser November, 2014. [4] Stadler, J.: The LIGNIMIX technology for stabilization of municipal sewage sludge and liquid manure 4th International Symposium Re-Water Braunschweig, 06-07.11.2013. [5] Londong, J. et al: Greywater (re)use options in a German urban context – necessities, challenges, barriers 4th International Symposium Re-Water Braunschweig, 06-07.11.2013. 12 / 12
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